Consider the given function and the given interval 14r f (z) ," a 17ア. I0. 2] (a) Find the avera...
answer please #6 for (a) Find the average value of f on the given interval. (b) Find c such that fave = f(c). (C) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. 200 Sale 5. f(x) = (x – 3), [2,5] 6. f(x) = ln x, [1,3] an
Find the average value fave of the function f on the given interval. f(r) 14x-2, (0, 5) fave
Consider the function below. h(x) = 7x5 - 12x3 + x (a) Find the intervals of increase. (Enter your answer using interval notation.) X Find the intervals of decrease. (Enter your answer using interval notation.) (b) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) -1,0.169 X Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (c) Find...
2 er Let I be an interval of R, and define the function f :I→ R by f(x) 1 +e2z or every z EZ. (a) Find the largest interval T where f is strictly increasing. (b) For this interval Z, determine the range f(T) (c) Let T- f(I). Show that the function f : I -» T is injective and surjective. (d) Determine the inverse function f-i : T → 1. (e) Verify that (fo f-1)()-y for every y E...
help -11 POINTS OSINTERALG1 6.5.320. For the function below, find the following. f(x) = 20x2 - 17x + 3 (a) the zeros (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) *= (b) the x-intercepts of the graph (Order your answers from smallest to largest x.) (X,Y) - (D ) (XV) - (C ) (c) the y-intercept of the graph ana TCG ПР Cana Additinal Materials craft: 289 Cana eBook ecraft: ne 290 an...
ESTION 6 (8 marks) Consider the function f(x) = 2 2+1 .) Find the interval(s) in which the function f(x) is increasing and the interval(s) in which the function is decreasing. b) Find the interval(s) in which the function f(x) is concave up and the interval(s) in which the function is concave down. c) Sketch the graph of the function f(x) ABC T T Arial 3 (12pt) T
need help Given the function f(x) = VX-7, (a) Find f '(x). (b) Graph fand in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of fandf (Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power,
Consider the following function f (r) In(1 2r),a -5, n-3,4.6S 5.4 (a) Approximate f by a Taylor polynomial with degree n at the number a T3(x)- (b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places.) R3(x)l S (c) Check your result in part (b) by graphing Rn(x). (Do this on your graphing device. Your instructor may ask to see this graph.) Need...
2. (Section 4.2) Given f(x)-x on the interval [0,4], complete the following (a) Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. b) Find the number c that satisfies the conclusion of the meat value theorem on the given interval. (c) Sketch a neat, clearly labeled graph with the function, the secant line that goes through the end points, and the tangent line at (c./(c)) all on the same coordinate grid (d) Are...